A new approach to canal surface with parallel transport frame

摘要

the present study, we attend to the canal surfaces with the spine curve. according to the parallel transport frame in Euclidean 4-space E-4. We give an example of these surfaces and obtain some results about curvature conditions in E-4. Moreover, the visualizations of projections of canal surfaces are presented. Lastly, we give the necessary and sufficient conditions for canal surfaces to become weak superconformal.